Question

the length and breadth of a rectangular garden are in the ratio 7:3.if the area of the field is 525 sq m,then find the cost of fencing it at rs.75 per m.

Answer 1

Let assume
Length =7x
Breadth =3x
Area of rectangle = 7x*3x
=21x²
21x²=525
X²=25
X=5
Length =7x5 =35m
Breadth =3x5=15m
Perimeter of rectangle =2(l+b)
=2(35+15)=100m
1m fencing cost 75₹
100m =75*100=7500₹

Answer 2

Total cost of fencing the garden is Rs. 7500.

• The length and breadth of the rectangle are in the ratio 7:3.

• Let the common multiple be x.

• Length of the rectangle = 7x and breadth of the rectangle = 3x.

• Area of the field is 525 sq. m

• Now the area = length × breadth

525 = 7x × 3x

525 = 21x²

x² = 25

x = 5

• Now length = 35 m and breadth = 15 m

• Cost of fencing is Rs 75 per m.

• Now Cost of fencing the garden is perimeter × Cost

• Perimeter of the garden = 2× (length + breadth)

• Perimeter of the garden = 2× (35 + 15)

• Perimeter of the garden = 100 m

• Total cost of fencing = 100 × 75 = 7500 Rs.